147666516480 has 640 divisors, whose sum is σ = 631045324800. Its totient is φ = 31973916672.

The previous prime is 147666516479. The next prime is 147666516511. The reversal of 147666516480 is 84615666741.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×147666516480² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9184929 + ... + 9200991.

It is an arithmetic number, because the mean of its divisors is an integer number (986008320).

Almost surely, 2^147666516480 is an apocalyptic number.

147666516480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147666516480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315522662400).

147666516480 is an abundant number, since it is smaller than the sum of its proper divisors (483378808320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

147666516480 is a wasteful number, since it uses less digits than its factorization.

147666516480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16121 (or 16099 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 147666516480 in words is "one hundred forty-seven billion, six hundred sixty-six million, five hundred sixteen thousand, four hundred eighty".